Recent content by zeroheero

Hi, I have an assignment question that asks if f(x) = x^2sin(pi/x), prove that f(0) can be defined in such a way the f becomes continuous at x = 0. Am I able to apply the squeeze theorem to show, -1<sin(pi/x)<1 add x^2 to the inequality -x\<x^2sin(pi/x)\<x^2. (\< us less than or equal to)...

Homework Statement I am currently having problems with a similar question, and used that post, but I'm finding it hard to solve for x. the question states. if f(x) = 1/x for every x > 0, there is a positive quantity e (epsilon), find the d(delta) quatity such that if 0 < l x - 3 l < d...